{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "290ddd1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torchquantum as tq\n",
    "from torchquantum.pulse import sigmax, sigmay, sigmaz, sigmaminus, sesolve, InitialState, mesolve\n",
    "import matplotlib.pyplot as plt\n",
    "from utils import *\n",
    "from qutip import Bloch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f50d8c13",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_dt = 160\n",
    "dt = 0.22 # ns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ed3f5bcd",
   "metadata": {},
   "outputs": [],
   "source": [
    "rho0 = InitialDensity(n_qubit = 2, state = [0,0])\n",
    "# state = [target, control]\n",
    "pulse = Schedule(0.1 * np.ones((n_dt,1)))\n",
    "H = H_2q_example(pulse = pulse, dt = dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5079dd29",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe769fbaaf0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L_ops = None\n",
    "y_res = mesolve(dens0 = rho0, H = H, n_dt = n_dt, dt = dt, L_ops = L_ops)\n",
    "plt.plot([torch.diag(p)[0].item().real for p in y_res[0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e5d45dab",
   "metadata": {},
   "outputs": [],
   "source": [
    "rho0 = InitialDensity(n_qubit = 2, state = [0,1])\n",
    "# state = [target, control]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "50c713c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe779f924c0>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L_ops = None\n",
    "y_res = mesolve(dens0 = rho0, H = H, n_dt = n_dt, dt = dt, L_ops = L_ops)\n",
    "plt.plot([torch.diag(p)[2].item().real for p in y_res[0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5c275074",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c42a6250",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe77a0bf2b0>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yYlbiTbiln8Z7Z8IHPWJVpNzrQX6WU9bHTvpGSIzIydtNM/OLMIpz3ZiTEPaHWqk6oiSdQ2N4v8MPjgOuWpyeGMly2XHF/BIAYnWE0I5vP38CX/3de9h1sA3vtg2hOxDGP/3mXfzhSIfWhyY7JEYyhLVqaBnbzGCjg/Nl9IswkhM19KlOTlgmzKrawhk/1ppEdP/BZvKNKAmLfF8zu3BK4+q5XJ2I+f/LMQqn04pXTvbg539tBgDccUU9fnLLxdi4pga8AGz9zbt4wWQbsEmMZAhr1TSTGJkRbJJmfql8fhGGVBmhNo1sxOK8ZApeNoOFhow1s5lvhMSIkrDKxoal5Rnd76rFZbBxwPGuANoo5FF1egIh/PNT7wIA/u+ldfj6tUvwt8srsOOm5fjkxdWI8wL+8X/fkRKszQCJkQwhE6s8KDFJw1iUCD471U2x8HLR2DeCUJRHjssu5e3MBFYZebd9COEYrVdQgqHRiOTz+VgGCw0BoCjHJQXU7aboflXheQH/9NS76B+JYHGFF1+7ZpH0M5uNw3c/dRE+tqQM0biAR175QMMjlRcSIxkyh9o0sqDEJA1j9qwcZDntCEV5CqiTiWOJ1NUllV5ZAurqi3MwK8eFcIzH0Q6qYCnByyd7EOcFLCrPw+xpCMirE9UU8o2oy97TPXj9TB88Tht+dPNKeJzjt5nbbRzu/bgoUHaf6EajSXYJkRjJkDop+GyYxt6miVKTNAy7jcOCckpilRMmGNhm5JnCcRxW1RYAAN5rH5LlMYnxML/H1RlWRRjsfvubBjA4EpHtuIipeXJ/GwDg05fMxrxJ2tjzSnPRsLgUggD89I0mNQ9PMUiMZAgrUQdCMQzSWOK0UHKShrEw0f5hz0XMDBbdz9JT5WBJBQXUKQXPC3jzbB8A4G/SnKI5l5qibCwqzwMvAH9NPBahLD3BEPac7AEA/MMlNVPe9o4rxAC73x1qR99wWPFjUxoSIxmS5bKjIrFkinwj00PJSRrGnBLxsWmp4czheQHHO1llRP7ofpp6kp+zvcMIhGLIctpn9JqtqyejsZr87lAH4ryAi2sLsOACLexL6ouwojof4RiP/97XotIRKgeJkWlAJtaZcaZHuUkaxhx6jWSjdWAUwXAMLodN1rYaEyOnuoOIxXnZHpdIRu2vqMmH0z79t/nVLC23hfJglEYQBOw60AoA+Ie1tRe8PcdxuCMR7///9jVjLGJsIziJkWlA470z43S3cpM0jDklCaMxeXtmzNGEeXVxed6MLmznUluUjRyXHZEYT6JRZlglg41QTxe2R+hEVxAj4diMj4uYnLebBtDcP4oclx3XXlSR1n0+vrQcVQVZGByN4tXTPQofobKQGJkGNYXZAICOIVqBPh2UnKRh1BblwMYBI5E4eoLG76dqyTHWopHRLwKIY4oLE0bj4+QbkZXDraIYYdH706WyIAuV+R7EeQFHTJRpoUd2HRCNq9evrESO25HWfRx2m5Qh89IJEiOWo7pQ3H1CYUCZEwgpO0nDcDlsqCkSRSP5RmYGM6/K6RdhkG9EfvqGw1Kl6WIZ0nKlVg35RhRjJBzD8++Liaob02jRpNKwuBSAmNhq5FwlEiPTgF3k2gepMpIpZxN+kTKvW7FJGkYyE4YmaqaLIAhSZWSZTGO9qSymiRrZOZTwiywoy0V+9sz/xtay6H7yjSjGW439CMd4VBdmYUV1Zn9na+uLkOdxoH8kYujqFYmRacAqI93BEKVHZghbMChHiueFqC8WKy9NVBmZNl3+EAZGIrCntFTkhMSI/BxukadFw2CP807rkKE/eeuZ18+Io9MfXlACjsssVNBpt+HKBeJiw5dOGDctl8TINJiV40KW0w5BADqHQlofjqFgiahqiBHJxErmyGnDWjTzS3PPS4KUg0XleeA4oCcYRr8JshL0wEFJjMzMvMpYVO5FrtuB4XAMp3zUTlOC18/0AgA+PL94Wvdncf97SIxYC47jpOpI+yD5RjKBVUZmF2cr/lw03jtzTiYuPiygTG5y3A7MTrQ9yTcyc0LRON5vFwWkXJURuy2ZlnuIWjWy0zE0hrO9I7BxwPq50xMjH1lQCruNw+nuYcN6GUmMTJOkiZV8I5mgbmVEbNO0DowiEqMci+nAEmznKTiGTa0a+TjW6UckzmNWjgt1s+QT/EzYHCATq+y8kaiKrKgpmLaPLj/bKY1hG7VVQ2JkmiRNrMZUoVohVUZkfKOcjDKvG9kuO+K8gDZ6naaFJEZKSIwYATbxsnp2Ycbeg6lgeSXMHEvIB/OLXDG/ZEaPw1o1JEYsRrJNQ5WRdAmEohhILNyazhbRTOE4TkrLpfHezOF5QZpEUnIMm4kRyhqZOe+0DgEALpapRcNYWVsAGye2FLoD5JOTizgv4I0PEubVafpFGFcldhC93ThgyIC6aYmRRx55BHV1dfB4PFi3bh32798/5e1/8IMfYOHChcjKykJNTQ3uuecehELG/gfNgs/oE3f6tCaqIsW5buSmGeozU1irponGezOmY2gMoSgPl92G2iLlKlmLK8QpnbO9w9ROmyFM0C2XOaAu1+3A3MTfEttTRMycY51+DI1Gked2YEVNwYweq744B5X5HsR4Ae8acMQ3YzGya9cubN26Fdu3b8fhw4exYsUKbNiwAT09E6e//frXv8bXvvY1bN++HSdOnMDPfvYz7Nq1C//yL/8y44PXkupCyhrJlKRfRPkWDYMqI9OHtWjqirPhkDEG/lyqCrKQ53EgGhdwtpdE43QJhqJoTZgXFytgOF5SSRUsuWEtmg/NnSXLqgUWUGdEb0/GZ//www/jjjvuwKZNm7BkyRLs3LkT2dnZeOKJJya8/ZtvvonLLrsMn/70p1FXV4err74aN9988wWrKXqHtWl6g2GEopQ1kg5Jv4jyLRrG3BISI9NF8oso2KIBxHba/MRzkBiZPmzstszrRlGOS/bHZxNVVBmRj9dOz2yk91yYidWIAXUZiZFIJIJDhw6hoaEh+QA2GxoaGrBv374J73PppZfi0KFDkvhobGzE888/j7/927+d9HnC4TACgcC4L71RkO2UWg1UHUkPtlhQk8oIjfdmjBrmVQZrAZztoddpujADsFJj2FQZkZdIjMc7iXbKpfNkEiN1xg2oy0iM9PX1IR6Po6ysbNz3y8rK4PP5JrzPpz/9aXzzm9/E5ZdfDqfTiblz5+IjH/nIlG2aHTt2ID8/X/qqqanJ5DBVgbJGModVRmo1ECN9w2EEQlHVntcMfNDLxnqVW2jIYN4eiu6fPkwkKNGiSX3c5v4RDBvQIKk3TvoCiMR45Gc5pUykmWLkgDrFp2n27t2LBx54AD/5yU9w+PBh/P73v8dzzz2Hb33rW5PeZ9u2bfD7/dJXW1ub0oc5Lcg3khlqZoww8jxOlOS5AVCrJhMEQVC5MiL+m6A2zfQ5ngiNU0qMFOe6UeZ1QxCAUz6qjswUZjJdUVMg2xi2kQPqMhIjxcXFsNvt6O4eP8fc3d2N8vLyCe9z33334dZbb8XnP/95LF++HJ/4xCfwwAMPYMeOHeD5iZ3zbrcbXq933JcekYLPqDJyQUYjMfQExbhvNcUIANQnnq/VoMmEWtA3HIF/LAqOS8bqK8nc0mSbhjdYeVkPxHlBEghKiRGAfCNywlo0K2c4RXMuRg2oy0iMuFwurF69Gnv27JG+x/M89uzZg/Xr1094n9HRUdhs45/Gbhd3XAiCsd90KGskfViLpiDbKcsm0UxgAXVGjUnWAlYVqSnMVmQnzbnUFmXDYeMwFo3DRzkWGdPcP4JQlIfHaZNak0qQ9I0YqwWgR9iG3VUyixGjBtRl3KbZunUrHn/8cfzyl7/EiRMncOedd2JkZASbNm0CANx2223Ytm2bdPvrrrsOjz76KJ588kk0NTVh9+7duO+++3DddddJosSoJFNYSYxciJZEi0bNSRpGTRGL7icxki6SX0ThSRqG026TvETUqskcZl5dWO6F3SZf8uq5LKkQ80vIxDoz/KNRqW18UbW8mTArawtgt3HoGBpDl98416aMk6c2btyI3t5e3H///fD5fFi5ciVeeOEFydTa2to6rhLyjW98AxzH4Rvf+AY6OjpQUlKC6667Dt/+9rflOwuNkCojdJG7IM2JyoiakzQMFthFbZr0+aBb/OSrlhgBxImaxt4RNPaOzDga22okJ2mUNRuzgLqTXQHE4ryi+TNm5r2OIQDie9OsXLesj53rdmBxRR6OdgRwsHkQ163IkvXxlWJaMZhbtmzBli1bJvzZ3r17xz+Bw4Ht27dj+/bt03kqXcMMrP0jEYxGYsh2qZMqakS0rIyQGMkcqTKignmVMbckF7vRTZWRacA8HEr6RQDx7zfbZcdoJI7m/hHMK1V+0sqMHEnE9svtF2GsmV2UECMDuG5FpSLPITcka2dAfpYTXo8oQDqoVTMlzX3aV0Y6h8YQjVPceDowz8hcVSsjNFEzXU4oPEnDsNs4LCoXBcgxMrFOmyMpkzRKsFoKPzOOb4TEyAypph01aaFlZaQkzw23wwZeALqGyBx5IQKhKLoD4uSTmm2aORR8Ni0GRyKS6ZcJBSWh8LOZIQgC3m0fAqBcZYSN957yBRGOGSMhnMTIDKlK+EY66CI3KeFYHF2JN8vZGlRGOI6TzMbUqrkwzFhXkudGfpZ6k0+sMuILhChUKwOYX6S2KBt5HuVfL8nESpWRadE+OIa+4Qicdg5LK5WpZFUVZCE/y4kYL+BMtzEqjSRGZkhlvgcA0DVEbZrJ6BwKQRCALKcdsxTYmZEO5BtJHxbbr+SI6EQUZLtQnCv++2iigLq0SSavquPfYJWRE1QZmRasRbO4wqvY2DzHJYXOsU6/Is8hNyRGZkhFgVgZ6fJTZWQyWFx+dWGWbEmDmUJiJH1YUm69Bi01qVVDvpG0Yf6ehSrE9gPAgjLxNeobjmBwJKLKc5oJKXm1ukDR51lWJVawjnYYQzSSGJkhFYnKSCdVRiaF5bCwUWgtoLTc9JG2Kxer31KbS2IkY9Q2G2e7HKhKfAj7gF6njHmvQ6xUKGVeZVBlxGJUUmXkgiQrI+pf3Bi1lMKaNlrsEGLQRE3msN/VXBXHsJmxmQkhIj0EQZDaW0r5RRhLpXZa0BAbfEmMzBBWGfH5Q7RTYxLY2HOVhpURlu5JbZoL08q2KxdpVxmhpYbp0T8cxuCouI1aCzFiFHOkXuj0hxAMxeCwcYq/XvXFuchy2jEWjaOpT/9/TyRGZkiZ1wOOAyJxHn0jYa0PR5fooU1Tk6jKDI1GEQhFNTsOvRMIRdGf8AFoMfkkiZG+EUN8mtOaswnRVlWQhSyXeus1pMoIVbAy4mSiKjKvNBcuh7KXX7uNw6IKlgmj/1YNiZEZ4rTbUJpYUU8ZFhOTFCPatWly3A5pkodaNZPDqiLFuS5VxkTPpaowC047h0iMN9ReDa04q/IOIcZ8acsyiZFMOOkTw+nUyIMBUn0j+jexkhiRgYp85huhN89zicR4dAdFkaZlZQSg7b3pIJlXNfCLAOKnOVbFYsKImBzJvKpiiwZIip+OoTGMUCZM2jC/yCKFk3IZyyrFiRqqjFgE5izvpMrIeXT5xyAIgMdp0yxjhEHjvReGmVdna+AXYTB/Twu9ThdEq8pIaiYMmY3TR/3KCBMjAQiCvtueJEZkgJlYqTJyPqxFU1WgXcYIg8TIhdEytp/BhFALVUYuSLIyosXkE03UZEIoGkdjQrgpvUOIsaA8Fw4bh6HRKDp1PvFJYkQGWPCZ3l9sLdDDWC8jKUZINE5Gc0IA1GmQMcJgQogJI2JixiJxdCTyjdSujADA/DISI5nwQc8weAEozHZKPkOlcTvs0r+NYx36btWQGJGBSgo+mxQ9TNIwqovEY2inysiktGrsGRGfmyoj6dDYNwxBAAqynSjSoAU6L1EZOUNiJC0kv0i5V9UqMWvVHNW5iZXEiAxIkfDkGTkPPUzSMFhlpH1wjMZGJ2AsEpe2v2rpGZmdkgmj9z63lrCx3nkluZq0QOeVir4HmqhJD8kvotIOIcayqsSWZRIj5odVRnqCIcTivMZHoy/0EHjGqMjPgsPGIRLn0R0g4XguzEvj9ThQkK3+WC+jujAbHAcMh2NS5glxPlpN0jBY+b9lYBSRGL3vXYiTvsRCw3J1/CKMhQmz7OnuoKrPmykkRmSgONcNp50DLwDdQQo+SyV1SZ7W2G0cyqmlNilSDHxxjqZmY4/Tjgqv+DpRq2ZytJqkYZR53chzOxDnBenfDjExYgy8NpWRBYkFim2DoxiLxFV97kwgMSIDNhuHssSbZxdd5CQiMV4q++tBjADJMewOep3OQw9+EUYyvp8ucpNxVlqQp83rxXGctJyPYuGnpnc4jIGRCGwcML9UXTFSnOtGUY4LgqBvszGJEZmozKeJmnPx+UPgBcDtsKEkVx33+IVg7SLmZSGSJBfkae/vYUv6mvuoMjIRcV5AYx/zjKh7cUuFFualx8lEVaSuOEfV2H4GS8zVc6uGxIhMVBZQ+f9c2ofEC4keMkYY1VJAHb1O59Ki4YK8c6HFhlPTMTiGSIyHy2HT1I9FO2rSQyu/CIO1ak73kBgxPcmJGrrIMdp1ZF5lVFKbZlJaBpKeEa2po6yRKfmgV7yozCnOgd2mndCfR8FnaXHKJ/5+mChQmwVl+m+nkRiRCSlrhNo0Enoa62UwYdRBbZpxRGK89DvRYlvvudRSCuuUNCXaV3M0SF5Npb4kKRppDHtyWOWIBcWpzfwy/U/UkBiRCVqWdz56mqRhpBpY6c0zScfQGHgByHLadeHvYYKofySCYVrEdh4tkr9HWzFSU5gNGweMRuLooUnCCREEAY092k4+sYpM+6B+FxuSGJGJigI2TUOVEUaHjtJXGaxNMxqJwz8W1fho9AMTjjVF+vD35Hmc0mJFatWcjxTbr7EYcTlsUuWzqY9ep4noCYYRDMdg47SrOhblJBcb6rWlRmJEJtg0Tf9IBKGofme51SR1SZ5e8Djt0h8lTdQk0WNLrZZi4SeluY8tNNT+9WIeo2YSIxPCRrBnz8qB26H+JA2DjRTrtVVDYkQmCrKdyHKK/9C6yDeCOC9IKaeVOhIjAGWNTETbgP5aarS9d2IiMV6qZOnBbDwncQxNVMGaEOYX0WKzciqSiZUqI+aG45LpnhQ1DvQNhxHjBdg4qLahMl3IxHo+rDJSo6PKCAtfo+Cz8aT6e/Twt8VyaZp66XWaCCm2XyO/CIOZWE/5qDJietgbA4mRZNWh3OuBw66vf2ZVlDVyHm06NBvT9t6JYeF0s2dl68LfI7VpqDIyIVJsv0Y7hBjMxHqG2jTmh1VGfNSmkYy8FTpr0QCUNTIRUmVEB4FnDBIjE9PSp49JGkZ9MRvvHQVP27DPQy+VEdam6fSHEAzpz7xPYkRGyr2sTUMjbmzEuSIh0PQEeUbGE4rG0ZsYy9RTZYS1jLr8Y4jSNmwJNkkzu1gfwrGqQNyGHY7x6KKq8DiCoah0PdBquzKjINslVe/16BshMSIjpV7yjDA6h/RpXgXIM3IurCqS63YgP8up8dEkKclzw+2wgReo2phKs04yRhgOu00KqaOJmvGcTfhoSvLcuvjb0nOrhsSIjLDKiI/EiCEqI/0jEV2v1FaLVL+IHjwIDI7jJOHYRjtqJFqk7cr6qIwAyVZNI4mRcbAWjdZ+EQZLgD2tw1h4EiMyUp4vlsDoU1wyFl+PlZH8LCdyEpszOykxV5cZIwzWqmGCyerE4rwkzOp1MNbLoKyRiZHMqxr7RRisVdSow8WGJEZkpCxRGekJhiwfNc4WBrIwOD2R+ombWjVA+0AyfVVvsGOigDqRjqExxHgBbocNZXn6qTqSGJkYybyqccYIg+0y0mMFi8SIjJQm3hyicQEDIxGNj0Y7IjEevcOiaYvF5OsNMrEm0XNlhB0TtWlEmlNaNDYNt/WeS/0sCj6biGRlRJttvefCKiNtA6MIx/TVoiYxIiMuh03ap2Fl30h3IARBGP/70BvSeC994tZlxgiDtWmoMiLSImWM6OOTNqOuOCkaYzT5BED8UMb8PXpp05TmuZHrdoAXgFadjcyTGJEZqVVj4fFeFiZWke/RlSEyFdamoeAzfaavMphAIs+ISHMfW5Cnr9eqMj8LLocN0bhA1cYErQMjiPMCct0OlHm1T8oFxBY1a9Wc1ZlvhMSIzLB/dFaujLDdPHqcpGGwNk27xd84R8IxqaVYrUvPiHjR7Q6EaQElUsZ6dWReBQCbjUvGwuvQj6AFqX4RPX0oY7uEzuosvp/EiMxQCmtyQkWPkzSMajKwAkhWRfKznPB6tM9BOJfCbCey2eSTxYUjoL+MkVTYMZGJVYRd7OfoZKyXkZyo0dfrRGJEZlInaqwKi4LX4yQNgwml7kAIcQtHWLfr2C8CiGXl5HivtcVInBckI6+eMkYY9dKOGmqpAUlRpqcRbCApjhr7qE1japgYsXRlhHlGdDpJAwAluW7YOCDGC+gbtq6/h13c9OgXYSTHe619kescGkM0LsBlt6FCh0KfmWpbaKIGQLJdpbeWmuQZ6RnWVQQFiRGZSaawWvcCJwWe6fANk+Gw2yTh2GVh4Zgc69Xva5Uc77V2ZYQJx+rCLNh1NNbLYJHwrTSGDSDZUpujMzFSX5wDjgMCoRj6dRRBQWJEZpLTNNa9wElR8DqujABJf0+Xhb0Ieh7rZdBEjYgkHHW0WTkVJkbaBscsv703EIqib1i80OutMuJx2iUDv558IyRGZIZN0/SPRHQXKqMGY5E4hkbF9dR6LCWnwio3nVQZkaZW9Eg1ZY0A0L9wrCjwwG7jEInx6AlatzIMJP0ixblirofemKPDWHgSIzJTlOOCyy7+Wq2YNcImaXLdDng9+vsjTKVCmnyy7kVOz+mrDMkzYvHyv57zYADAabehMlENtXqrhvlF9NaiYczVYdYIiRGZ4TgOpYnqiBUnatgkjZ4DzxisTWPVyshwOAb/mFjFqtRxS40Jpf6RCEYjMY2PRjtSPSN6hXwjIlI4XbE+heMcHY73khhRgOREjXUrIxU6zhhhsPFeq04+Ma+M1+NAng4zRhhiBopYZbNyq8YILTUSIyJNibFZvflFGHOL9bcwj8SIAiQnaqx3keuUtvXq95M2o8LiBlYW263ncDoGuwBbdWFeOBZHd6LSqu/KiHiRs+rrxGhKZK3U6zCcDgDmJnbltA6MIhLTxy4hEiMKYOWJmmSbRr9vmAx2jN3BsCWDzzoTr1WVAcQIuwBbtTLSOSQun8xy2nW7fBKgyggACIKApoQXo75En2KkNM+NHJcdcV5A64A+qiMkRhTAyvtpuhLnrPexXgAoyXPDbuMQ5wX0WtD932mkykihtSsjqUm5evZikRgBBkejCIREb9PsIn2KEXFhnlgd0cuOGhIjCmDl/TRsMkXPS/IYdhuHsjxROHZacKLGUGJEyrCw5kWOBb7p2S8CJMVIbzCMsYj1og2A5CRNRb4HWYm9SnqEJbHqZbEhiREFSO6nsd6nbSbAmG9G7zCjLWsvWYmkZ0T/rxVrJVl1Pb3edwgx8rOTZmOrVkf0upPmXPS22JDEiAKk7qfRU/a/0oxGYlJ5stwAlREgxcRqxcpI4pyN4BmpsviW5TYDxPYzamdZu1Wj150058LEElVGTAyrCoxF49LF2QqwqkiOy67rUdFUkmLEWpWROC9Ir5cR2jRMjAyORi2ZNcIqI3oNPEvF6r6RpsROGr1O0jDqpC3LJEZMS5bLLpUqrTRRwwy7ZQapigDJiRqr+Xv6hsOIxgXYONFZr3e8HifyEn9TVqyOMM+InpNyGVYfwzZKm4aJpe5AWBcCn8SIQpRZMGukm03SGEiMML+E1QyszHtR7vXAYTfG2wBrJ7VbzDcSisbRNyz6z1g0vp6xcmVEEATDtGnys50ozBYr2CwxVkuM8S5kQKw4UcNaHWUGMa8CQHm+NQ2sRpqkYVRb1DfCWjS5bgfys/Tf/rSyGOkNhjEaicPGJX8PekZPrZppiZFHHnkEdXV18Hg8WLduHfbv3z/l7YeGhrB582ZUVFTA7XZjwYIFeP7556d1wEbBihM13QabpAGSSbE9wRBicX0kEaqBMcWI+OZutYmaVPOqnjNGGLUpbRreYmGCrCpSVZgFl0P/n/VZq0YPJtaMf1u7du3C1q1bsX37dhw+fBgrVqzAhg0b0NPTM+HtI5EIPvaxj6G5uRm//e1vcerUKTz++OOoqqqa8cHrGSn4zEKVEZ8B2zSzct1w2DjwgrWEI0tfNZIYkdo0VquMSAvy9P9JGxD/Tdk4IBzj0Ttsnb8pAGhJvFZ1OjevMup0NFGTsRh5+OGHcccdd2DTpk1YsmQJdu7ciezsbDzxxBMT3v6JJ57AwMAAnnnmGVx22WWoq6vDlVdeiRUrVsz44PWMFffT+AzYprHbOOl4rTTey6oLVQbIGGEkx3utVf5PLsgzhnB02m2SyLVaq6Y1sZPGCC0aIKVNYzQxEolEcOjQITQ0NCQfwGZDQ0MD9u3bN+F9/vjHP2L9+vXYvHkzysrKsGzZMjzwwAOIxydP5wuHwwgEAuO+jIYV99Mw4WWUjBEGM7FaabzXiG0aqwaftQ8aZ5KGMZtljfRbS4ywygg7f73D2jSG84z09fUhHo+jrKxs3PfLysrg8/kmvE9jYyN++9vfIh6P4/nnn8d9992Hhx56CP/+7/8+6fPs2LED+fn50ldNTU0mh6kLJAOrRcRILM5L+12MJkasaGI1pBhJVEZ6gmHdbBpVgzaDpK+mYlUTa2viol6r050051JXLL5OfcMRBENRTY9FcYcNz/MoLS3FY489htWrV2Pjxo34+te/jp07d056n23btsHv90tfbW1tSh+m7LDKSG8wbAljZO9wGLwAOGwcinP0n1uRSqXFgs/GInEMjopvPEYSI7NyXPA4bRAEa7XUpDaNgSojVs0aMVplJM/jRHGu+H6t9XhvRmKkuLgYdrsd3d3d477f3d2N8vLyCe9TUVGBBQsWwG5PLgxavHgxfD4fIpHIhPdxu93wer3jvoxGca64EZYXgP6Ric/TTDC/SGmeGzab/h3/qVgtEp5lquS6HVI4nxHgOE4ST1YZ7x0JxzCQeP+oNohnBLBmZcQ/FsVQQuQbxTMCAPWJ6kiTxq2ajMSIy+XC6tWrsWfPHul7PM9jz549WL9+/YT3ueyyy/DBBx+A55PVgdOnT6OiogIul2uah61/7DYOJbnWmaiRFuQZrEUDJNs0nRZ4nYDUFo3HEKOiqVgt+IxVRfKznPAaZMUCYE0xwvwxxblu5LiNI/L1sjAv4zbN1q1b8fjjj+OXv/wlTpw4gTvvvBMjIyPYtGkTAOC2227Dtm3bpNvfeeedGBgYwF133YXTp0/jueeewwMPPIDNmzfLdxY6RRrvtYBvxKjmVSBpYPVZpTJiQL8Iw2rBZ20DxvOLAEkx0hMMYywy+bCCmWgZEC/mRmnRMPQyUZOxfNu4cSN6e3tx//33w+fzYeXKlXjhhRckU2traytstqTGqampwYsvvoh77rkHF110EaqqqnDXXXfh3nvvle8sdIroG/FbYqJG2ktjoLFeRrkUfBZGNM7DaZB49OnSYcCMEQabKLFK1oiRFuSlkp8l7hIKhmJoHxzF/LI8rQ9JcVoMNtbLkLb3atymmVYtacuWLdiyZcuEP9u7d+9531u/fj3eeuut6TyVobHSRA1r0xgp8IxRnOOG084hGhfQEwxLrQCz0illjBjvPJPjvdYo/6emrxoJjuNQW5SNY50BtPRbQ4wYLWOEYdg2DZE+0rI8v/lTCI0YeMaw2ThJOHZZwIuQ6hkxGlLwmQVeJyClMmKwCxxgPd+Icds04vEOjkbhH9VuvJfEiIIk99OYvzLCNvYaaS9NKhVe65hYJTGSb6xP20CyMtI1FELcAntP2g1aGQGsJ0baBsTXymhiJNvlkPyNWrZqjGP5NSBSJLzJL3CCIEgZHRUGvMABQIVFTKw8L0iCy4iekTKvBw4bhxgvoCcYMuy/t3RhBlYjVkaslDUSjsWlkXmjBJ6lcs2yCoxGYsh22S98Y4UgMaIgVpmm8Y9FEU4kYpZ6jRV4xmAXtU6Tp7D2j0QQifHgOGNOPtkTLbX2wTF0DI6ZWoz4x6IIhGIAjOnvsVJlpH1wDIIAZLvsKM41XmTFv16/VOtDoDaNkpQl3uyDoRhGIzGNj0Y5mNgqzHbC49ROWc8EqwSfsRZNWZ7HsFNDVtlRw/wiRTkuQ+VWMFLFiCCYu6WWal41WnaPXjDmu5FByHM7pLJXd8C8JtYuKfDMeJ/eGEyMmL2lZmTzKoOZWM0+3puMgTfm31VlQRZsHBCOJfdWmZWWfmOaV/UEiREF4TguZaLGvBe5biZGDNqiAVLaNCZ+nYBkNcGIfhFGtUUqI8nAM2Ne4FwOm/TvzOytmuROGuP5RfQCiRGFYb4RM0/UGDl9lcEMrH3D5t4IyzwxRvQgMKwSfCZN0hhoJ825WMU3YtSMET1BYkRhrDBRI+2l8Rr3TXNWjgsuu7gRttvEhmPWpjFiOB1DyhoZNPcFjnlGjFoZAawjRoy2rVePkBhRGKlNY+ILXLIyYtw2DcelBJ+ZWDiy8UMjt2lSDaxmNkYa3TMCJMd7zSxGeF6Qzm+2Acd69QKJEYWRgs9MbGD1mcDAClhjosbIS/IYrKUWivIYGIlofDTKIAhCSuCZcT9t11oga6Q7GEIkxsNu4wxtDNcaEiMKY4X9ND6Dp68y2AXarJWRUDSOvmHx4m1kz4jbYUdpnliFM6uJdWg0iuGwGAdgxPRVhhXaNGxBXlVBFhwGHZfXA/SbUxgp+MzEF7ihxD4Do4sRs++nYSIry2lHQbZT46OZGUnfiDlfK1YVKclzGza7B0iKke5AGKFoXOOjUQZmXiW/yMwgMaIwrE3TGwybsr/NzJ5ZTju8WcYLZkql0uSekdSMEaMHM5k9+KxNMq8atyoCAAXZTuQlAtvaTWo4ZgvyaJJmZpAYUZiSRDk5EucxqOFGRKVIBp4Z/wLHPC/mFyPGvsAB5g8+k7b1GtgvAojGcGZiZe0Ms9FClRFZIDGiMG6HHUU54q4CM46MsnMqM3DgGaPC9JUR42eMMMwefMY2wBq9MgIANYmcFLOaWJkfxogL8vQEiREVYGY7M4oRn8G39abCKgZ9w2GEY+brb5upMmL24DOpMmKC0n/SxGrO14oqI/JAYkQFzDzey6oIZQY3rwLioj+3Q/yT6Pab77UyQ8YIw+zBZ22DZqqMJMZ7Tfha+Uej8I+J7XfyjMwMEiMqwKZMzFgZ6ZbGeo3fpuE4ztRZIx0mWJLHYK2mQCiGYMhcXiwxY8QcnhEgRYyYsE3DzKvFuW5DblbWEyRGVID5KbpNuJ8mmb5q/E9wQLLdZDbfiCAIUpvGDJ6RHLdDGk82m2+kfySCUJQHxyUD3owME1RtA6OmmyikFo18kBhRgVJpP435Sv++lGkaM8AqI50mq4wMjkYRiooLAM3yWknjvSbzjbAKQrnXA7fDuBkjDNZqGonETTdRmIyBJzEyU0iMqIDkGTFZZSTOC+gJigLL6IFnDPZJtGvIXK8Vq4qU5LlNcYEDzJs10m4ivwgAeJx2qTpstiRWaVsvVUZmDIkRFZDaNCbzjPQPhxHnBdhtnJSnYnTMmjXSYaJJGoZZU1jbTOQXYZh1Rw3zjFCbZuaQGFGB1BTWOG+enim7YJfkumG3GTvwjFEp7RIy1wUu6RcxRwULSFZG2qkyonuYsDJtZYQyRmYMiREVKM51w8YBvCBWE8wCM6+WmcSDAKQYWE3apqk0idEYSF6sTVcZGWBR8Ob5tM0maswUCR+OxdGVeA+ksd6ZQ2JEBVLbGGba3svaThUm8YsASQOrONFgnuAzlr5aYaI2jVmDz5i4qi4yz2tVY8LtvW0DYxAEINtlR3GuS+vDMTwkRlSiTMoaMU9lpMtkkzSAuNjL40wEn5lIOHaYuE3TN2yejbA8L0jiykyekZpCFglvHuHYmrIgz+h7ufQAiRGVKM0zX/BZt4nSVxkcx0mtjE4TtWq6TJS+yijIdiLbJU4GdZrEN9I7HEYkzsNuSwbwmQE2bdIxNIZYnNf4aOSBMkbkhcSISrCJmh4TiZEuaS+Ned40gWSlxywprJEYL41gm2GHEIPjONON9zJPRbnXA4fdPG/PZXkeuOw2xHnBNJNqSTFC5lU5MM+/dp1jxjZNcmOvucSI2VJYuwMhCALgctgwK8dcvW2zjfeyNkaNifwiAGCzcZLh2CzjvcltvVQZkQMSIyoh7acxSfCZIAgpUfBmEyPmqowkJ2k8sJlkBJth1sqImSZpGNUmW5jX0k8ZI3JCYkQlShNtGp9JPm0HQjGMRkTToFnSVxkshdUsrxWLtjdTi4Zh2sqICcVIbaLaY4aJGp4XpM3KsyljRBZIjKhEMhLeHG0a1qLJz3Iiy2WOeHGG2Qys7DzMZF5lmC34rH2IVUbM91olF+YZ/7XyBUKIxHg4bJwptmDrARIjKsHEyMBIBOGY8ccQpQV5JquKAOYzsJoxfZVhtuAzdqE2oxipNVGbhplXqwuzTGU01hL6LapEYbYTTrvYr+81QXWEiREzpa8yWGVE3HRrfOHIxIiZAs8YzFvhC4QMPzIa5wXptaoxoSmyxkT7aZhfpJYmaWSDxIhKcByXkjViAjGSaNNUmlCMeLMcUn6FGSZqzNymKcl1SyOjRk839gVCiPECnHbOdBNqQFKM9A1HMBqJaXw0M6MlIahmm1A0agWJERVh5X8zZI10mTDwjMFxXLJVYwIvAjOwmrFNY7NxkuHY6K2a9sQFrrIgyzSLJ1PJz3LC63EAML5vpJUCz2SHxIiKsOAzo3+CA1L20piwMgIkWzVGr4wEQlEEQ+KnUDNO0wDmGe8147bec2FJrEZv1bQMsLFeatPIBYkRFTFTm6bLxJ4RwDwmVrZ9OD/LiRy3Q+OjUQZJjBi8MsKMnWYc62WwczPyeK8gCGjpo8qI3JAYURFpvNcElRGflF1hTjFSKYkRY79WnSbcSXMuUtYIVUZ0T40JJmoGR6MIhsVqI6WvygeJERVhbRqjp7CGonEMjkYBABVec75xsskTw4uRlPRVs2KWNg1rXZhxkoZhhokaNklT5nXD4zRXxpKWkBhRkXKT7KdhfhGP0wZvljlL/6xNY/RtsJIYsUJlxOBtGktURqT9NMZ9rViLifwi8kJiREVKJTFi7E/bPmlbbxY4znyufyBpYDW62bjLxGO9jOoC8dN2+9AYeF7Q+GimRzTOS/4kM3tGWFujdWAUgmDM16q5j8Z6lYDEiIqwNk0wFDP0nL1P2tbr1vhIlIONiw6NRjEWMW7wWYdUGTFvm6Y83wMbB0RiPPpGjFl19PlD4BOblYtzzft3VVWYBY4DxqJx9I9EtD6caZGcpCExIickRlQk150M0zJyq6YrpTJiVvLcDuQkXqtOA0/UWMHA6nLYJHO4UVs1zENRXZBlus3KqbgddqldbdSJmmTGCLVp5ITEiIpwXDJZ0citGmkvjYlNkRzHSSZWo27v5XlBOnYzixHA+CZWyS9igdJ/cmGeMcWIlL5KlRFZITGiMqV5iYkaM4gRE6avplJhcBNr33AY0bgAGweU5Zm39A8Y38TaPmjebb3nwiZq2g34Wo2EY9JusdlFVBmRExIjKpOMhDdum4Z5RsxcGQGSYsSolRFWJSjzeky/WdTolZG2QfObVxk1ReJrxdodRoK1lvKznMjPdmp8NObC3O9QOoS1aYw8pWGdyoj4ptlpUDHSZZEWDUCVESNRa+Dgs5aEgKqjFo3skBhRGaO3aWJxHj1Bc++lYVQYPBKetZfM/joBJqiMJHI3zBx4xqgpMm4kfGtikqaWzKuyQ2JEZZKR8MZs0/QNR8ALgMPGYZaJRxABGN7Ayi7MVRaojFSnVEaMll8RjsWlVGYrVEZYK6rLH0I0zmt8NJnR3E8ZI0pBYkRlpGkag0bCsypBaZ7blGvOU6k0uIHVCoFnDHaOwXAMgTFjZfh0DoUgCECW045ZOS6tD0dxSvPccDlsiPOC9G/UKDCfSy21aWSHxIjKSPtpAiHDfYIDku0ls5tXgeQ5BkIxjISNdYEDkhkjVmjTZLsc0oW8fchY5f9Uv4hZE41Tsdk4qQJkNN8ICzyrozaN7JAYURlWGQlFeQRCxrvAdVkgY4SR53Eizy3u3jHiwjwr7KVJxagmVuYXsUKLhlFrQN9IJMZL/7YoY0R+SIyojMdpR36WOBJmRBNrcpLGGm+c5QY1sYaicfQNi3HbVvCMAMY1sbLKiBXMqwwjBp91DI2BF8QFoaUmz+3RAhIjGpDaqjEabCTZCqV/IGliNVplhIlGj9OGAovkIUhixGCVESts6z0XI1ZGWvoTkzRF2ZZop6kNiRENSEbCG2+ihl2UyywiRpiJ1WhGu9QWjVXeOKU2jcEqI8w3YYXAMwYLPmszkHBsHaCdNEpCYkQDSvOMu5+m22KVEaO2aVhQm1VaNICR2zSsMmIlMWK8Nk0LjfUqyrTEyCOPPIK6ujp4PB6sW7cO+/fvT+t+Tz75JDiOw4033jidpzUNrE3TYzAxIghC0sBq8vRVRmW+Mds0Vgo8YxjRwBqKxqVdJ6xaYAVYm2ZgJIJgKKrx0aQHa9OQeVUZMhYju3btwtatW7F9+3YcPnwYK1aswIYNG9DT0zPl/Zqbm/HP//zPuOKKK6Z9sGaBfdo2WptmcDSKSEwMKSr1WsPAVVFg0MqIxSZpAKC6QLxI9I9EMBaJa3w06cGqIrluh2RstwJ5Hqc0it1ikB01LVLGCLVplCBjMfLwww/jjjvuwKZNm7BkyRLs3LkT2dnZeOKJJya9Tzwexy233IJ/+7d/w5w5c2Z0wGaAtWmMtp+GmSKLc11wO+waH406VBjVM2KhvTQMb5YDuYlR7A6DZI20WSxjJBUWHGYEEyvPC9Jx0l4aZchIjEQiERw6dAgNDQ3JB7DZ0NDQgH379k16v29+85soLS3F5z73ubSeJxwOIxAIjPsyE0Zt0/gCyS2wVqE8P5nsaZRyMpBSGcm3jhjhuGSYllHW01vRL8Jg3ovmRPtDz/QEwwjHeNhtnKUEvppkJEb6+voQj8dRVlY27vtlZWXw+XwT3ueNN97Az372Mzz++ONpP8+OHTuQn58vfdXU1GRymLpH2k8TDIPnjZPC6vOLbSUr+RBy3Q7kecRP20bZUSMIQkqbxjqvFWA8E2v7gHW29Z4Lm0ppNUCbhgmmqoIsOO0096EEiv5Wg8Egbr31Vjz++OMoLi5O+37btm2D3++Xvtra2hQ8SvUpSQTmxHgBA6MRjY8mfXx+61VGAOOZWANjMYwmPBNW+xRnNBMra9PUWnBCgxlBjeAZYYKJzKvK4cjkxsXFxbDb7eju7h73/e7ubpSXl593+7Nnz6K5uRnXXXed9D2eFw2QDocDp06dwty5c8+7n9vthtttXoOk025Dca4LfcMRdAdCKDbI9lt2MbZSZQQQTaynuoOGMbGyqkBRjgsepzW8PQyjVUaYD8GaYkSsjLQYoE3DdtKQGFGOjCojLpcLq1evxp49e6Tv8TyPPXv2YP369efdftGiRXj//fdx5MgR6ev666/HRz/6URw5csR07ZdMSAafGePTNpA03JZbyIcAJMVXp0FMrFZt0QDGq4ywT9xWioJnsAt7VyCEUFTf00/JjBGapFGKjCojALB161bcfvvtWLNmDS655BL84Ac/wMjICDZt2gQAuO2221BVVYUdO3bA4/Fg2bJl4+5fUFAAAOd932qUeT041hkw1Hivz2IZI4yKhPgyimeEVXCsZF5lGKky4h+NSssyrZQxwpiV40Ku24HhcAztg6OYV5qn9SFNSnKs13qiUS0yFiMbN25Eb28v7r//fvh8PqxcuRIvvPCCZGptbW2FzUYGnwvBJmqMcoEDUisjVhMjicqIYdo01hvrZbDKSHcghGic17XZkPlFinNdyHZl/FZseDiOQ21RNo53BdDSr3cxIrZp6ihjRDGm9RewZcsWbNmyZcKf7d27d8r7/uIXv5jOU5oOo7VphsMxBBOf4qwnRoxlYLVym6Y4xw2Xw4ZIjIfPH9J1+4P5RfR8jEpTVyyKkWYdm1iHRiNSBcuK3h610O/HBpPDPm0bJfiMVXDy3MlgKavAUliNUsWS2jQWrIzYbJzUqmGVB73SZmHzKqO2iI336tfEylo0pXluZLmsZQhXExIjGlFuMB9Ct0VbNEBSOA6HYwgYIPiMGW0rLOgZAZKZHXo3sUqVEQsGnjFYmmmLjlNYm2knjSqQGNEIZgI1SulfWpBnQTGS7UruDdG7eIzzglRts9LG3lSMYmJtS4glS1dGDJA1kswYIb+IkpAY0Qh2UfePRQ2x1EuqjFhskobBqiN6v8D1BEOI8wIcNk4K17MakhjReWWEtWmqLThJw2CG0PbBUcTivMZHMzHN0livdUWjGpAY0Qivx4HsRP/RCL4R5kOwYmUESF7gOnUuRtjxlXk9sNustXiNIWWN6Pi1ivMC2i2cvsoo93rgctgQjQu6rRI39Q0DAOpLqDKiJCRGNILjuJRWjX7fNBk+C7dpAOOEabHFa1Zt0QDGaNOIo8diBcuq3h5ANBwzMabXVk1Tn+gZqS8mMaIkJEY0hF3YjTDey6o3VouCZxjhAgckj8+Ki9cYTDh2Do3pdhElM69WFWZZtoLFYO0PFrmuJwZHIhgcFU3rJEaUhcSIhjAxotfyZCqsMmK1JXkMo1VGrCxGyr0eOGwconEB3UF9/m3RWG+S5I4a/VVGmhKTNBX5HksG06kJiRENYW0avU9ohGNx9A2L24WtWlKuNIhnJClGrHuRc9htknjU63p6ybxq4deJkdzeq7/KSFMvtWjUgsSIhkjBZzoXIz2J/Tkuhw2F2U6Nj0YbqhNixJeIGdcrHYPJ8r+VkXwIOs2vsPK23nNhYqS5T3+vFflF1IPEiIZIwWc694z4UsZ6Oc6a/e3iXDdcdht4Qb/iURAEatMkYBf5Np2KEcoYSTKnOBeAGC6mN49PI5ukITGiOCRGNKTCIJ4Rq0/SAKLrn+160auJtW84gnCMB8dZt53GYBf5Vp2KkeReGmu/ToBYxXPZbQjHeN0to2xMtGnm0Fiv4pAY0RBmBu0bDuu69C+JEYuaVxl6N7EykVSWJ2Y3WBk9j4uOReLoDYqtT6qMAHYbJ7Vq2MVfD/C8IEXB1yeqN4RyWPsdS2Nm5bjgtHMQBKAn8eakR1jlxqpjvYzKfH2bWFmIltVbNEAyZlyPbRr2OuW5k2sGrA5rgzCPhh7wBUIIRXk4bBz9TakAiRENsdk4qTri01l5MhWWg2LVsV6G3pM9O8gvIlGTqDj0j0QwHI5pfDTjSbZosi3rwToXlm6qJzHCjqV2VjacdrpUKg39hjUmOd6r58qIeJGzemVE78FnUvoqiRF4PU5p8ktv472sdUQtmiRzE22Qs73DGh9JksaEGJlD5lVVIDGiMcngM31e4ACgOzHaa2UDK6B/z0iyTUMXOQCoTYRp6c3EyvI06ugiJ6HLyghljKgKiRGN0XvWCM8LyY29Fhcj1QXiRb5jaAyCoK8RRICi4M9Fr+O9bAts3SwSjQx2we8YGkMoqo8t5tKCPDKvqgKJEY2RPCM6zRrpHQ4jxguw2ziU5FpzJT2jPN8DjgPCMR79IxGtD2ccqRkjVl6Sl0ptYmxWbztPWGWExaATopnf63FAEPQzAdVIgWeqQmJEY1gehF4rI8lxUTccFjdxuRw2lOaJgkxvrZqh0ShGI+InykoSIwCA2UWsTaOf1yoa56XAs7piqowwOI5DfYlYgWjUgW8kEuOlihpljKiDta8uOkDvy/K6hsTjoguciF5NrKwqUprnhsdp1/ho9EGNDts0HYNjiPMCPE4byvKs3fY8F2YUbdSBb6R1YBS8AGS77NIHEEJZSIxoDBMjPcGQ7qKQgWSmBokRkaqEOVRvlZF22klzHixrpH1wFHGd/G2xEK3ZRTmw2WisN5U5OsoaSd1JQ+PX6kBiRGNK89zgOCAaF3TnQwCSFQASIyJ6jYRPmlep9M8o93rgstsQjQu6mVZjfojZZF49DzZRo4c2DTuGOSVkXlULEiMa47TbJGOoHn0jrDJSVUAlZSC5vVdvYoQW5J2PPSU5Uy/jvc001jspbGGeHiojZ3pEMTK/lMSIWpAY0QEVOs4aYYurqDIiotesEZqkmRjmG9FL8FmLNNZLYuRcmKF3cDSKQY2rxCRG1IfEiA5gEzV6NLF2koF1HFUpWSN6gvbSTIzetvc2Jz71U8bI+WS7HNIHMy1NrIIg4IPuIABgfhmJEbUgMaID2IVebwvYxiJxDCQ+oZAYEWGeEf9YVFc7T5J7aegilwrzZuhBjMTiPNoSonE2tWkmZI4OfCNd/hBGInE4bBxlwagIiREdoFdTJGvR5Lod8HocGh+NPsjzOFGQ2HnCqhFa4x+LIpgQRlQZGU+NjiojXf4QonEBLocNFRZfOjkZetjey1o09cU5tCBPReg3rQOqdFoZSWaMeGi8LYWaQpZfoY/Xi+VoFOdSxsi5sMpIc9+I5hH+zLxaW5RNY72TMEcHC/POUItGE0iM6IBkm0ZfnhEmjpinhRDRmw+BHQeNi54PM4oGQjGp5agVzWRevSBMAJzp1lKMiM89rzRPs2OwIiRGdAATI93BEKJxXuOjSUIZIxOjt2RPWkk/OR6nXao8aj0y2kLm1QuysEwUAM39I5otzDvTk6iM0CSNqpAY0QGzclxwOWwQBH1ljVDGyMTUJBaw6UWMsMoIiZGJqddJzLiUvkrm1UkpyXMjP8sJXtCmVSMIQnKsl9o0qkJiRAfYbBwqEyNtevKNUMbIxOivTZP0IhDnowdTJJDapqHXaTI4jsMCDVs1PcEwgqEYbBxt61UbEiM6QfKN6Cj4jDJGJoZd9NsGRzU3RQLkGbkQkhjp1U6MxHlBCl4jz8jUzE+0ak4njKRqwgRQ3awcuB1kBlcTEiM6QW8mVkEQJM8IpXqOp7IgCzYOCEV59A6HNT2WaJyX/s1QZWRi2M4TLSsjvkAIkTgPp50jcX8BFiS8Gqc1qIwwv8g88ouoDokRnVCps50n/SMRRGI8OA4oo0yEcTjtNmnCSGvfSOdQciV9Ca06nxBpG2z/iGabsVmIV21RNuw01jslCxKVESYM1IT8ItpBYkQnMJOoXjwj7DhK89xwOeifybnoxTeSOklDWTATU1WQBaedQyTGa9YGPdvDxkXpInchWJumdWAUYxF1J2o+SFRjmCAi1IOuMjpBb5Hw5BeZmuREjbavVwtN0lwQh90m/X60atV8kKiMzKWV9BekONeFohwXBAH4oEe9Vo0gCDhNbRrNIDGiE6Q2zeCYLkyRnZQxMiV6qYy0SWKETJFTUa/xevqzPeLzkhi5MBzHSRkfappY+0ciGBqNguPoddICEiM6oTLhQRiJxBEIab+ATRIj+eQXmQi97DxpkSLGSTRORXIBm7aVEfrEnR6sTXJaRd8IEz41hdm0VkEDSIzohCyXHUU5LgD6aNVQxsjUMDHSrrEYaU20iWi76NRomTXiH4uiNyhOXTFRREyNFlkjxzsDAIDFFeQX0QISIzqiUkcm1g7yjEwJa9N0BUIIx7SJrRYEAa2JykgNeUamREsxwpJEy70e5Hmcqj+/EdEia4SJkaWV+ao9J5GExIiOYK0aXYiRQcoYmYpZOS5ku+wQhOTvSm0GRiIYicTBcUB1Ib1OU8HGe9sHR1UXj2ySZm4pVUXShbVp2gfHMBJWp219vEsUI0sqvKo8HzEeEiM6Ipk1om3w2Vgkjr5EmFdNIX3ingiO46TfTZtGYoRN0pR7PdTjvgAleW7kuOzgBfWzYWiSJnOKclwozhVzc86oMFETisal51lSSWJEC0iM6IgqnYz3tg+Kb9Z5Hgfys6msPBlam1jbaKw3bTiOk5JY1TaxskkaMq9mBvONqNGqOdM9jDgvoDDbiQoy7WsCiREdoZeskbaEGKGqyNRIO2o0EiOpgWfEhdFqvLeRKiPTYmG52Ko5kWifKMnxLj8AsSpC4YHaQGJER+jFwMqCvGpoXHRKksFn2oiRVqqMZIQWJtZIjJfaaSRGMmNZwkh6tMOv+HMdI/Oq5pAY0RGsTeMLhBCL85odB7u4UmVkarQOPmNbYGtpW29azE20adTwIDBa+kcQ5wXkuh0o89LuoExYXi0Kg2OdAcQV3inEJmnIvKodJEZ0RHGuG047B14QBYlWSG0a+sQ9JZIY6R/VJDWXKiOZsSBlXFSt14vFmc8tyaHyf4bMLclFltOO0UgcTX3KCUieF6RW0FIyr2oGiREdYbNx42LhtYLaNOlRU5QNjgOC4Rj6hiOqPvdoJCYJ1joKPEuLOSU5sNs4BEMx1cQ+yxiZS+bVjLHbOGmy5X0FWzUtA6MYicThdtikVh6hPiRGdIbWpX+ADKzp4nHapdaa+qZI8fkKs50oTCT3ElPjdtili80pnzphWsnKCImR6bC8SmzVvN+unIn1WKcodBZVeOGw0yVRK+g3rzOqNc6u8I9GEUzsxqkmMXJB5pSwCQ31fAgA0JgQP3PoIpcRC1VO9jzbSwvyZgJrmyhpYiW/iD4gMaIztB4XZVWR4lw3slwUpHUhWLKn2tkVbFx0DpWVM4L5Rk75lBePgiBIbRrKGJkeSROrH7xCJlY2SUNhZ9pCYkRnaN2mkSZpyC+SFtI2WI3aNORFyIyF5eoFabUNjGE0EofLbsNsmniaFvNKcuFx2jASiaOpX5m/seNkXtUFJEZ0htbZFeQXyYx6qTKidpuGKiPTYWG5eME50xNUflw0cZGbX5YLJ3kRpoXDbsPiCuVaNT2BEHqDYXAcsKictvVqCf2F6AxWGekJhjEWUX8bLE3SZAYTI60Do6plwwiCgKZe8oxMh9qibLgdNoSivOKCn42LLiYvwoxImljlFyMHWwYBAIvKvch2OWR/fCJ9SIzojPwsJ/I84h8F2xGjJlQZyYzK/Cy4HTZE4wI6VErO7Q6EMRKJw27jKGMkQ+w2DvMTO09OKdyqOU5iRBaWMTGiQGXkYLMoRtbMLpT9sYnMIDGiM8Zvg9VAjAxQ4Fkm2GxcSqtGHd8IawnVFmXD5aA/4UyRws8UHu89QSvpZYFVRo51BmQ3sR5qTYiROhIjWjOtd7JHHnkEdXV18Hg8WLduHfbv3z/pbR9//HFcccUVKCwsRGFhIRoaGqa8PTE+2VNNeF6QRoqpMpI+aptYz9IkzYxg471KVkb8Y1G0J/6WSIzMjHmluXA5bBgOx9Aso4l1LBLHsUS15eJaEiNak7EY2bVrF7Zu3Yrt27fj8OHDWLFiBTZs2ICenp4Jb793717cfPPNeOWVV7Bv3z7U1NTg6quvRkdHx4wP3qywXSOtA+pmjfQOhxGJ8bBxQEUBrdFOF7VNrGclvwiJkemwoFz5rJGTiapIVUEW8rOdij2PFXDabZKgO9I2JNvjvts+hBgvoMzrRnUheeS0JmMx8vDDD+OOO+7Apk2bsGTJEuzcuRPZ2dl44oknJrz9r371K3zpS1/CypUrsWjRIvz0pz8Fz/PYs2fPjA/erNQk/jDUbtOwFk1Ffha5/zNA7dX0FHg2M1hlpLF3BJGYMqbjpHmVJjTkYF19EQDg7cYB2R7zUAvzixTR3iAdkNEVJxKJ4NChQ2hoaEg+gM2GhoYG7Nu3L63HGB0dRTQaRVFR0aS3CYfDCAQC476sRI1GwWfJBXn0KSETWIVCNTFCbZoZUZHvQZ7bgRgvSCPScnOiS6y6kHlVHj40ZxYA4K2mftke82CzKGxWk3lVF2QkRvr6+hCPx1FWVjbu+2VlZfD5fGk9xr333ovKyspxguZcduzYgfz8fOmrpqYmk8M0PKnBZ2pug5XGeskvkhFMFHT5QxiNxBR9rlA0Lk3tUGVkenAcJ7VqlNpRc5zMq7Kypq4QNg5o6R9FpwxTazwvJCsjZF7VBarW4h988EE8+eSTePrpp+HxTO5J2LZtG/x+v/TV1tam4lFqT1VhFjgOGI3EMTCi3jZYmqSZHgXZLhQlltUpXR1p7h+BIAB5HgeKc2lB3nRhEzUnFRAjsTgvmWOpMiIPeR6nNFXztgzVkQ96hxEIxZDltNNrpBMyEiPFxcWw2+3o7u4e9/3u7m6Ul5dPed/vfe97ePDBB/GXv/wFF1100ZS3dbvd8Hq9476shNthR7lXFGtqxsKz56LsisxRa7y3MWXxGvW5p8+yqsRqegWCtJr6RC9KjstOf0syIrVqzs7cN8LyRVbWFJA/Tidk9Cq4XC6sXr16nPmUmVHXr18/6f2++93v4lvf+hZeeOEFrFmzZvpHayFYq0RNMcI+1deTFyFj2O9M6cqI5BehSZoZsaK6AIA4USF3dgVr0Syq8MJmI8EoF3L6Rg62iIKGWjT6IWNJuHXrVjz++OP45S9/iRMnTuDOO+/EyMgINm3aBAC47bbbsG3bNun23/nOd3DffffhiSeeQF1dHXw+H3w+H4aH1d3lYTRYq4RlFSjNcDiGnmAYAFBHYiRj1DKxNtJKellYWJ4Ht8OGYCgm+wK24zRJowhy+kZYZYTMq/ohYzGyceNGfO9738P999+PlStX4siRI3jhhRckU2trayu6urqk2z/66KOIRCL41Kc+hYqKCunre9/7nnxnYULUDj5rTlxEi3NdyM+iXIRMmZMY7/2gR1mRTYFn8uC026SY8XdlzK4AkpM0SyryZX1cqyOXb+Rs7zBaB0bhtHMkRnTEtDYDbdmyBVu2bJnwZ3v37h33/83NzdN5CsvDxmvVatM0UotmRixMCdKK8wLsCpTn47wgGSMX0obRGbOypgCHWgbxbtsQbrq4WpbHFARB2i67hFbSy86H5szCu+1+vHV2AJ9YNb3X7KXjoudx/dxi5Hnog5deIOeOTmGVEbWCz9gWWBIj06O2KBtZTjvCMV7WyOpUmvtHEIry8DhtmD2LXqeZsqKmAABwREYTa2PfCAZGInA7bDTWqwBy+EZeOiGKkY8tLpXlmAh5IDGiU5gY6RwaUywlMpWmRPgTSxMlMsNu46RqxckuZbIrWKrnwnKvIpUXq7EyYWI90RlAOBaX5TEPJbwIK2oKaImhAqypK4TdxqGlf3RaoZD9w2EpX+SqxWUXuDWhJvTXolNK8tzIcdnBC0DrgPLJnjRJM3OYYfGkT5nE4JOSF4FaNHJQU5SFwmwnInFeNgF5IJHqSSvplSHP48QldWJ697PvdV3g1ufz8ske8AKwtNKLygJKmtYTJEZ0CsdxmFvKTJHKihFBEFL2nZAYmS6LysWy/AmFKyPseYiZwXGc1Kp5t31IlsekVE/luX5lJQDgj+92Znzf3Qm/yMeWUFVEb5AY0TFsYkKp/RmM/pEIgqEYOI4Cz2bConJlKyPJ5WskRuSC5Y3IsQ22fzgsiXpaSa8c1ywrh9PO4URXIKPNy6FoHK+f6QMANFCLRneQGNExLEvirMKVEdaiqSrIgsdpV/S5zAyrWLQPjiEQisr62P7RKDr9IfF5qE0jGytZZUQGMcKqIvNLc1GQTVH9SlGQ7cKVC0oAAH88kn515M2zfRiLxlGZ78FSmnTSHSRGdAxr07BsCaWgSRp5yM92ojJfjPGXewHbiUS1paogC14aR5SNi6rF3IqzvSMzFpDUolGP61dWARBbNekuE2UtmoYlZbRKQYeQGNExzL/R2Dus6PZeyS9CYmTGLEq0UE52yduqoRaNMszKdUuZPu+1zWzE94C0kr5oxsdFTE3D4lJkOe1oHRhNq8U2NBrBHxJVlA1Lp96jRmgDiREdUzcrBxwHBEIx9A0rt703OdZLYmSmMN/ICZkrIzRJoxzM3/FW4/SzK0LROI52iIJxLVVGFCfb5cDVS0XfRzpG1l+82YzRSByLK7y4dO4spQ+PmAYkRnSMx2mXFuYp2aqRxnpp38mMUawy4ksuXyPk5cPzRf/B3tM9036M9zv8iMR5FOe6yQSuEtevSEzVHOnEcDg26e1GwjH8/K/NAIDNH51LLRqdQmJE58wtUXY1fZwX0JzYf0NtmpnDKhenfEHZtsHGeUHyoFCbRn4+nDBDHu0IoDexLDJT2OK1NbML6WKnEh9eUILaomz0j0Twwz1nJr3d/+5vhX8sivriHFyzrELFIyQygcSIzplToqyJlSW8uuw2CgGSgbpZOXA5bBiJxGXbuNzUN4JwjEeW047Z9Klbdkry3FhWJYq818/0TusxWIuHzKvq4bTb8G83LAUA/OyNpglN4+FYHI+91ggAuPPKuZRcrGNIjOicuQqLEdaimT0rm/5QZcBht2FBmfianZApbyQZA58HG71GisBGRfeeylyMBEJR7DsripGPLCyR9biIqfnowlJsWFqGOC/gvmeOnmf0/+nrTegJhlGR78GNq6o0OkoiHUiM6Byl2zQUAy8/LG9ErohxFqJGLRrl+MhCcWna62d6Ec+wvfbKyR5E4jzmluRgXikZjNXm/uuWIstpx/7mATz+eiOicR48L2DHn0/gP148BQD40kfm0q4gnUOvjs5hbZq2wVGEovIs80qFVVzqKQZeNti2Vrkixt9NjJxSUJNyrKopQJ7HgcHRKN7L8HV78ZgPAPDxZTQyqgVVBVm4q2E+AOCB509i/Y6X8Q+PvYX/elVsz2z92AJ85kOztTxEIg1IjOic4lwXvB4HBAGKrKZnn97ZSCoxc1YnlqQdahmcsYk1FudxuFU0R66to/wKpXDYbbh8XjEA4NXT6bdqQtE4Xjkp3v7jS8kcqRWfv7wed101H8W5bvQNh7G/eQBOO4eH/34FvnzVfDIVGwASIzondWGe3K0aQRCSI6O0fE02llR6keW0wz8WnbHX50RXEKOROLweB+aX0ui1kjC/RyZi5LXTvRiLxlFVkCWZYAn1cdhtuOdjC7Bv29/gv25djX9YW4P/+dw63HRxtdaHRqQJiREDMKeY7aiR18TaMTSGYCgGp52TjLLEzHHabdLOkwOJkc/pkkz1LCTzqsKwEd8jbUMYGEkvZPDFY2LE+NVLKWJcDzjtNmxYWo4HP3kR1s2hcDMjQWLEAMwtFf0cck/UsBbN3JJcMnfJDEvhPJgQE9PlYIt4/zXUolGcivwsLK30QhCApw62XfD20TiPl06IYuTjFDFOEDOCrkAGIDneK2+bho2MLqEpDdlh4uFgy/QrI4IgSJUV8ouow+3r6wCI8eHROD/lbd9uHIB/LIpZOS4SiwQxQ0iMGICFZYlUz+7gBd8gM+FkIiSIVtLLz6raAtg4oHVgFN2B0LQeo3VgFL3BMFx2m7RdllCWG1ZVojjXjS5/CM+/3zXlbf/fvmYAYouGMnoIYmaQGDEAtUXZyHU7EInxsrZqyLyqHHkep/R7PThN3wiriiyvzofHaZft2IjJcTvsuG29OAb6+OuNk27LPtg8gL8c74aNAz53eb2ah0gQpoTEiAGw2TgsSWRMHOuQJ9VzLBJHcyLwjMK0lIFFgzPfR6YcaGJ+EYoYV5Nb1tXC7bDhaEcA+5vOf+0EQcADz58AAGxcW0NBZwQhAyRGDMKySrFMf7TTL8vjne4OghfEHJOSPLcsj0mMR/KNTLcykhAxa2eTH0FNZuW68cnV4kjo4683nvfzF4/5cLh1CFlOO+5uWKD24RGEKSExYhBYhoFclRFmXqUWjXKsSYSfHev0T7nifCL6h8NSrgwLUSPU47OXia2Xl0704IHnT0jhdeFYHN95QYwYv+OKepR5PZodI0GYCRIjBmFZlVgZOdbpl2U1/UlpJT2VmJWisiALVQVZ4AXgSOtQRvdlUzjzS3NRmONS4OiIqZhXmot/+dtFAIDHXmvEXbuO4Ik3mnDld/eiqW8Es3Jc+MKVczU+SoIwDyRGDMKc4hx4nOJqejli4akyog4sb+S1DFfTv3KyBwBwST21aLTiCx+ei4f/fgUcNg5/ercT33z2OHyBEMq8bjy8cSVy3Q6tD5EgTAOJEYPgsNsk4XCsc2atGkEQkmKEKiOKwpanPfde16STGecSjfN4IbF87drltO9ES266uBo/37QWXo8DNUVZ+PYnluG1r34UVybSWgmCkAeS9gZiWZUXR9qGcLTTj+tWVE77cbr8IQRCMThsHObRvhNF+cjCUuS47OgYGsPh1qG0/B9vfNCHodEoinPdFGmtA66YX4KD3/gYnHaOIt8JQiGoMmIg2ETNTE2srCoytyQXbgflVyiJx2nH1Ymo8D+925nWfdjtrl1eTmFaOsHlsJEQIQgFITFiIJiJ9WinP+2S/0QcaRsCACytJL+IGly3Qmy1PPd+F+IXMB+HonHsTixf+z8zqH4RBEEYCRIjBmJ+WS6cdg5Do1F0DI1N+3HeTgQ5kTlSHS6fV4L8LCd6g2G83dQ/5W1fPd2LYDiGinwPVtfSSC9BENaAxIiBcDvsWJDYUzNdE2s4FpcqI2tJjKiCy2GTtro++97U+07Yz69dXgEbtWgIgrAIJEYMxlIpFn56SazvtfsRifEoznVhTnGOnIdGTAEzHP/5/a5Jlx2ORmJ46Xj3uNsTBEFYARIjBmN5wjfyTqK6kSn7U1o0ZMhTjw/NKUJxrguDo1H87lD7hLf5+V+bMRaNo7Yom7b0EgRhKUiMGIwPJUY99zcNIBSNZ3x/JkbW1lGLRk0cdhvuuGIOAODfnzuB9sHRcT8/5QviP186AwC466r5JBQJgrAUJEYMxrzSXJR7PQjH+IwXsMXiPA4lYsbJvKo+n79iDi6uLcBwOIav/vY9KdY/Gufxz0+9i0icx1WLSnHTxVUaHylBEIS6kBgxGBzH4fL5xQCA1zOMGD/RFcRwOIY8j4Ni4DXAbuPw0N+vRJbTjjfP9uNHL3+Ag80D+I8XT+H9Dj+8HgceuGk5VUUIgrAcJEYMyBWSGOnL6H77m8UWzZrZhRSmpRH1xTnYlljA9v2XTuNTO/fhsdfENfX/ev1S2gJLEIQloTh4A3LZPFGMHO8KoDcYRkmeO6377U9kXFxSTxHjWvKZdbNxtMOPv37QD6edg93G4coFpfjEKmrPEARhTUiMGJDiXDeWVnpxrDOAv37QhxvTuIgJgoADzcwvQmFaWmKzcfjup1ZofRgEQRC6gdo0BuXyDFs1p7qDGBiJwO2wYXlVgYJHRhAEQRCZQWLEoFwxT1xh/vqZ3rT21PzhiLh87fJ5xXA56GUnCIIg9ANdlQzKmrpCuB029ATDONMzPOVt47yA3x8Wg7Y+tbpajcMjCIIgiLQhMWJQPE67lBXy8smeKW/7+pledAfCKMx24qrFZWocHkEQBEGkDYkRA3PNMnE1/X/va5l03wkAPJWIH79hZRW1aAiCIAjdQVcmA3PTxVUoznWjY2gMf3q3c8Lb+Eej2H1MXL5GLRqCIAhCj5AYMTAepx2fvbwOALDz1bNSvHgqf3yvE5E4j0XledLGX4IgCILQEyRGDM5nPjQbeW4HTncPn+cdEQQBTx1sAyBWRShmnCAIgtAjJEYMjtfjxC0fmg0A+MneD8aN+X7vL6fwXrsfTjuXVjAaQRAEQWgBiRET8NnL6uBy2HC4dQj3/eEoeoIh/PT1RjzyylkAwDdvWIbi3PQi4wmCIAhCbSgO3gSUej344ofn4Icvf4D/easVvz3UjlBUnK756scX4uZLajU+QoIgCIKYHKqMmIStVy/Er+9Yh5U1BZIQueOKetx55VyNj4wgCIIgpoYqIybi0rnFePpLs/DKqR4MjETxyYuryLRKEARB6B4SIyaD4zj8zSJKWSUIgiCMA7VpCIIgCILQFBIjBEEQBEFoCokRgiAIgiA0ZVpi5JFHHkFdXR08Hg/WrVuH/fv3T3n7p556CosWLYLH48Hy5cvx/PPPT+tgCYIgCIIwHxmLkV27dmHr1q3Yvn07Dh8+jBUrVmDDhg3o6Zl4jf2bb76Jm2++GZ/73Ofwzjvv4MYbb8SNN96Io0ePzvjgCYIgCIIwPpyQmh+eBuvWrcPatWvx4x//GADA8zxqamrwj//4j/ja17523u03btyIkZERPPvss9L3PvShD2HlypXYuXNnWs8ZCASQn58Pv98Pr5eWvREEQRCEEUj3+p1RZSQSieDQoUNoaGhIPoDNhoaGBuzbt2/C++zbt2/c7QFgw4YNk96eIAiCIAhrkVHOSF9fH+LxOMrKxudYlJWV4eTJkxPex+fzTXh7n8836fOEw2GEw2Hp/wOBQCaHSRAEQRCEgdDlNM2OHTuQn58vfdXU1Gh9SARBEARBKERGYqS4uBh2ux3d3d3jvt/d3Y3y8vIJ71NeXp7R7QFg27Zt8Pv90ldbW1smh0kQBEEQhIHISIy4XC6sXr0ae/bskb7H8zz27NmD9evXT3if9evXj7s9AOzevXvS2wOA2+2G1+sd90UQBEEQhDnJeDfN1q1bcfvtt2PNmjW45JJL8IMf/AAjIyPYtGkTAOC2225DVVUVduzYAQC46667cOWVV+Khhx7CtddeiyeffBIHDx7EY489Ju+ZEARBEARhSDIWIxs3bkRvby/uv/9++Hw+rFy5Ei+88IJkUm1tbYXNliy4XHrppfj1r3+Nb3zjG/iXf/kXzJ8/H8888wyWLVsm31kQBEEQBGFYMs4Z0QK/34+CggK0tbVRy4YgCIIgDEIgEEBNTQ2GhoaQn58/6e0yroxoQTAYBACaqiEIgiAIAxIMBqcUI4aojPA8j87OTuTl5YHjONkelyk2M1dc6ByNj9nPD6BzNAtmP0eznx8g/zkKgoBgMIjKyspxFo5zMURlxGazobq6WrHHt8LEDp2j8TH7+QF0jmbB7Odo9vMD5D3HqSoiDF2GnhEEQRAEYR1IjBAEQRAEoSmWFiNutxvbt2+H2+3W+lAUg87R+Jj9/AA6R7Ng9nM0+/kB2p2jIQysBEEQBEGYF0tXRgiCIAiC0B4SIwRBEARBaAqJEYIgCIIgNIXECEEQBEEQmmJpMfLII4+grq4OHo8H69atw/79+7U+pGmxY8cOrF27Fnl5eSgtLcWNN96IU6dOjbtNKBTC5s2bMWvWLOTm5uKTn/wkuru7NTrimfPggw+C4zjcfffd0vfMcI4dHR34zGc+g1mzZiErKwvLly/HwYMHpZ8LgoD7778fFRUVyMrKQkNDA86cOaPhEadPPB7Hfffdh/r6emRlZWHu3Ln41re+hVQPvdHO77XXXsN1112HyspKcByHZ555ZtzP0zmfgYEB3HLLLfB6vSgoKMDnPvc5DA8Pq3gWUzPVOUajUdx7771Yvnw5cnJyUFlZidtuuw2dnZ3jHsPI53guX/ziF8FxHH7wgx+M+76ezzGd8ztx4gSuv/565OfnIycnB2vXrkVra6v0c6XfXy0rRnbt2oWtW7di+/btOHz4MFasWIENGzagp6dH60PLmFdffRWbN2/GW2+9hd27dyMajeLqq6/GyMiIdJt77rkHf/rTn/DUU0/h1VdfRWdnJ2666SYNj3r6HDhwAP/1X/+Fiy66aNz3jX6Og4ODuOyyy+B0OvHnP/8Zx48fx0MPPYTCwkLpNt/97nfxwx/+EDt37sTbb7+NnJwcbNiwAaFQSMMjT4/vfOc7ePTRR/HjH/8YJ06cwHe+8x1897vfxY9+9CPpNkY7v5GREaxYsQKPPPLIhD9P53xuueUWHDt2DLt378azzz6L1157DV/4whfUOoULMtU5jo6O4vDhw7jvvvtw+PBh/P73v8epU6dw/fXXj7udkc8xlaeffhpvvfUWKisrz/uZns/xQud39uxZXH755Vi0aBH27t2L9957D/fddx88Ho90G8XfXwWLcskllwibN2+W/j8ejwuVlZXCjh07NDwqeejp6REACK+++qogCIIwNDQkOJ1O4amnnpJuc+LECQGAsG/fPq0Oc1oEg0Fh/vz5wu7du4Urr7xSuOuuuwRBMMc53nvvvcLll18+6c95nhfKy8uF//iP/5C+NzQ0JLjdbuF///d/1TjEGXHttdcKn/3sZ8d976abbhJuueUWQRCMf34AhKefflr6/3TO5/jx4wIA4cCBA9Jt/vznPwscxwkdHR2qHXu6nHuOE7F//34BgNDS0iIIgnnOsb29XaiqqhKOHj0qzJ49W/j+978v/cxI5zjR+W3cuFH4zGc+M+l91Hh/tWRlJBKJ4NChQ2hoaJC+Z7PZ0NDQgH379ml4ZPLg9/sBAEVFRQCAQ4cOIRqNjjvfRYsWoba21nDnu3nzZlx77bXjzgUwxzn+8Y9/xJo1a/B3f/d3KC0txapVq/D4449LP29qaoLP5xt3jvn5+Vi3bp0hzvHSSy/Fnj17cPr0aQDAu+++izfeeAPXXHMNAOOf37mkcz779u1DQUEB1qxZI92moaEBNpsNb7/9turHLAd+vx8cx6GgoACAOc6R53nceuut+MpXvoKlS5ee93MjnyPP83juueewYMECbNiwAaWlpVi3bt24Vo4a76+WFCN9fX2Ix+MoKysb9/2ysjL4fD6NjkoeeJ7H3XffjcsuuwzLli0DAPh8PrhcLunNgWG0833yySdx+PBh7Nix47yfmeEcGxsb8eijj2L+/Pl48cUXceedd+LLX/4yfvnLXwKAdB5G/Xf7ta99Df/wD/+ARYsWwel0YtWqVbj77rtxyy23ADD++Z1LOufj8/lQWlo67ucOhwNFRUWGPOdQKIR7770XN998s7RkzQzn+J3vfAcOhwNf/vKXJ/y5kc+xp6cHw8PDePDBB/Hxj38cf/nLX/CJT3wCN910E1599VUA6ry/GmJrL5E+mzdvxtGjR/HGG29ofSiy0tbWhrvuugu7d+8e18c0EzzPY82aNXjggQcAAKtWrcLRo0exc+dO3H777Rof3cz5zW9+g1/96lf49a9/jaVLl+LIkSO4++67UVlZaYrzszrRaBR///d/D0EQ8Oijj2p9OLJx6NAh/Od//icOHz4MjuO0PhzZ4XkeAHDDDTfgnnvuAQCsXLkSb775Jnbu3Ikrr7xSleOwZGWkuLgYdrv9PCdwd3c3ysvLNTqqmbNlyxY8++yzeOWVV1BdXS19v7y8HJFIBENDQ+Nub6TzPXToEHp6enDxxRfD4XDA4XDg1VdfxQ9/+EM4HA6UlZUZ/hwrKiqwZMmScd9bvHix5Ghn52HUf7df+cpXpOrI8uXLceutt+Kee+6RKl1GP79zSed8ysvLzzPNx2IxDAwMGOqcmRBpaWnB7t27x62eN/o5vv766+jp6UFtba303tPS0oJ/+qd/Ql1dHQBjn2NxcTEcDscF33uUfn+1pBhxuVxYvXo19uzZI32P53ns2bMH69ev1/DIpocgCNiyZQuefvppvPzyy6ivrx/389WrV8PpdI4731OnTqG1tdUw53vVVVfh/fffx5EjR6SvNWvW4JZbbpH+2+jneNlll503kn369GnMnj0bAFBfX4/y8vJx5xgIBPD2228b4hxHR0dhs41/y7Hb7dInM6Of37mkcz7r16/H0NAQDh06JN3m5ZdfBs/zWLdunerHPB2YEDlz5gxeeuklzJo1a9zPjX6Ot956K957771x7z2VlZX4yle+ghdffBGAsc/R5XJh7dq1U773qHINkcUGa0CefPJJwe12C7/4xS+E48ePC1/4wheEgoICwefzaX1oGXPnnXcK+fn5wt69e4Wuri7pa3R0VLrNF7/4RaG2tlZ4+eWXhYMHDwrr168X1q9fr+FRz5zUaRpBMP457t+/X3A4HMK3v/1t4cyZM8KvfvUrITs7W/if//kf6TYPPvigUFBQIPzhD38Q3nvvPeGGG24Q6uvrhbGxMQ2PPD1uv/12oaqqSnj22WeFpqYm4fe//71QXFwsfPWrX5VuY7TzCwaDwjvvvCO88847AgDh4YcfFt555x1pkiSd8/n4xz8urFq1Snj77beFN954Q5g/f75w8803a3VK5zHVOUYiEeH6668XqqurhSNHjox7/wmHw9JjGPkcJ+LcaRpB0Pc5Xuj8fv/73wtOp1N47LHHhDNnzgg/+tGPBLvdLrz++uvSYyj9/mpZMSIIgvCjH/1IqK2tFVwul3DJJZcIb731ltaHNC0ATPj185//XLrN2NiY8KUvfUkoLCwUsrOzhU984hNCV1eXdgctA+eKETOc45/+9Cdh2bJlgtvtFhYtWiQ89thj437O87xw3333CWVlZYLb7Rauuuoq4dSpUxodbWYEAgHhrrvuEmprawWPxyPMmTNH+PrXvz7uomW083vllVcm/Nu7/fbbBUFI73z6+/uFm2++WcjNzRW8Xq+wadMmIRgManA2EzPVOTY1NU36/vPKK69Ij2Hkc5yIicSIns8xnfP72c9+JsybN0/weDzCihUrhGeeeWbcYyj9/soJQkr8IUEQBEEQhMpY0jNCEARBEIR+IDFCEARBEISmkBghCIIgCEJTSIwQBEEQBKEpJEYIgiAIgtAUEiMEQRAEQWgKiRGCIAiCIDSFxAhBEARBEJpCYoQgCIIgCE0hMUIQBEEQhKaQGCEIgiAIQlNIjBAEQRAEoSn/P0Gc7USDyhhaAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rho0 = InitialDensity(n_qubit = 2, state = [0,0])\n",
    "L_ops = 0.1 * (torch.kron(sigmaminus(),sigmai()) + torch.kron(sigmai(),sigmaminus()))\n",
    "y_res = mesolve(dens0 = rho0, H = H, n_dt = n_dt, dt = dt, L_ops = L_ops)\n",
    "plt.plot([torch.diag(p)[0].item().real for p in y_res[0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d75196d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe779ecd3d0>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rho0 = InitialDensity(n_qubit = 2, state = [0,1])\n",
    "L_ops = 0.1 * (torch.kron(sigmaminus(),sigmai()) + torch.kron(sigmai(),sigmaminus()))\n",
    "y_res = mesolve(dens0 = rho0, H = H, n_dt = n_dt, dt = dt, L_ops = L_ops)\n",
    "plt.plot([torch.diag(p)[2].item().real for p in y_res[0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4d90055a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "64a008a7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
